An Example of $Z_{N}$-Graded Noncommutative Differential Calculus

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dc.creatorDjemai, A. E. F.
dc.creatorSmail, H.
dc.date1999-08-03
dc.date.accessioned2026-07-07T04:32:54Z
dc.date.available2026-07-07T04:32:54Z
dc.descriptionIn this work, we consider the algebra $M_{N}(C)$ of $N\times N$ matrices as a cyclic quantum plane. We also analyze the coaction of the quantum group ${\cal F}$ and the action of its dual quantum algebra ${\cal H}$ on it. Then, we study the decomposition of $M_{N}(C)$ in terms of the quantum algebra representations. Finally, we develop the differential algebra of the cyclic group $Z_{N}$ with $d^{N}=0$, and treat the particular case N=3.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math-ph/9908005
dc.identifierhttp://arxiv.org/abs/math-ph/9908005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58367
dc.subjectMathematical Physics
dc.titleAn Example of $Z_{N}$-Graded Noncommutative Differential Calculus
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